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(SELECT ALL) Which set(s) of ordered pairs does not represent a function?

BE SURE TO SELECT ALL THAT APPLY!

(1 point)
Responses

{(−8,3),(−4,2),(2,−8),(−4,9)}
{(−8,3),(−4,2),(2,−8),(−4,9)}

{(2,1),(9,1),(−6,−1),(−2,9)}
{(2,1),(9,1),(−6,−1),(−2,9)}

{(0,−4),(-2,−2),(7,−4),(−2,2)}
{(0,−4),(-2,−2),(7,−4),(−2,2)}

{(−7,−8),(−1,6),(−4,−4),(−7,−2)}

1 answer

To determine which sets of ordered pairs do not represent a function, we need to check if any input (the first element of the ordered pair) is associated with more than one output (the second element). If an input has multiple outputs, then it does not represent a function.

Let's examine each set of ordered pairs:

  1. {(−8,3),(−4,2),(2,−8),(−4,9)}

    • Input -4 is associated with two outputs: 2 and 9.
    • This set does not represent a function.

  2. {(2,1),(9,1),(−6,−1),(−2,9)}

    • Each input is unique:
      • 2 → 1
      • 9 → 1
      • -6 → -1
      • -2 → 9
    • This set does represent a function.

  3. {(0,−4),(-2,−2),(7,−4),(−2,2)}

    • Input -2 is associated with two outputs: -2 and 2.
    • This set does not represent a function.

  4. {(−7,−8),(−1,6),(−4,−4),(−7,−2)}

    • Input -7 is associated with two outputs: -8 and -2.
    • This set does not represent a function.

So, the sets of ordered pairs that do not represent a function are:

  • {(−8,3),(−4,2),(2,−8),(−4,9)}
  • {(0,−4),(-2,−2),(7,−4),(−2,2)}
  • {(−7,−8),(−1,6),(−4,−4),(−7,−2)}